(1/2)(5x - 1) - (2/3)(4x - 2)?

(1/2)(5x - 1) - (2/3)(4x - 2)
= (5x - 1)/2 - [2(4x - 2)]/3
= (3/3)[(5x - 1)/2] - (2/2)[(2*4x - 2*2)]/3]
= [3(5x - 1)]/6 - [2(8x - 4)]/6
= (3*5x - 3*1)/6 - (2*8x - 2*4)/6
= (15x - 3)/6 - (16x - 8)/6
= (15x - 3 - 16x + 8)/6
= (15x - 16x - 3 + 8)/6
= (-x + 5)/6

The context is going lower back to verse 9, or a minimum of verse 11. the concern below communicate is a female coaching or workout authority over a guy. And even in spite of the shown fact that a female would not have authority to tutor in the congregation, she has a duty to tutor her very own little ones, along with her husband, so as verse 15 says "they proceed in faith, and love and sanctification, alongside with soundness of innovations." Adam grew to become into the non secular head of his family participants. the female grew to become into deceived. yet somewhat than take that decision upon herself, she could have consulted along with her husband on no remember if to consume the fruit or no longer. And an analogous applies to severe questions of a non secular remember. The husband's outlook could be sought out for a properly-rounded decision.

(1/2)(5x - 1) - (2/3)(4x - 2)

5x/2-1/2-8x/3+4/3
=-1/6x+5/6

(1/2)(5x - 1) - (2/3)(4x - 2)?

You have an indicated distribution of 1/2 across (5x - 1).
So
It means multiply the whole thing by 1 and divide the whole thing by 2
1 times (5x -1) equals (5x - 1)

dividing looks like this
(5x - 1) / 2
or
5x/2 - 1/2

Use the same approach for the second part
(2/3)(4x - 2) = (8x - 4) / 3
but there was a minus in front of this, so we have
- (8x - 4)/3
which equals
-8x/3 + 4/3

Now to combine like terms
5x/2 - 1/2 - 8x/3 + 4/3
the terms containing x are "like terms"
5x/2 - 8x/3
and the terms without unknowns are "like terms"
4/3 - 1/2
but we need common denominators
you can handle that, right?

change all denominators to 6 after multiplying it out...
5/2x - 3/6 -16/6x + 8/6=
-1/6x + 5/6